A stall was selling flowers.
13 of the earnings are from the sale of 10 marigolds and 15 sunflowers. Of the rest of the earnings,
34 are from the sale of marigolds and
14 are from the sale of sunflowers. Each sunflower costs twice as much as each marigold. How many flowers were sold?
10 marigolds and 15 sunflowers |
Rest of the earnings |
Total earnings |
1x2 |
2x2 |
|
|
Roses |
Carnations |
|
|
3x1 |
1x1 |
|
2 |
3 |
1 |
6 |
Fraction of the earnings left after the sale of 10 marigolds and 15 sunflowers
= 1 -
13 =
23 The rest of the earnings is repeated. LCM of 2 and 4 is 4.
Cost of 1 marigold = 1 u
Cost of 1 sunflower = 2 u
Cost of 10 marigolds = 10 x 1 u = 10 u
Cost of 15 sunflowers = 15 x 2 u = 30 u
Total cost of 10 marigolds and 15 sunflowers
= 10 u + 30 u
= 40 u
26 of the earnings → 40 u
16 of the earnings → 40 u ÷ 2 = 20 u
36 of the earnings → 3 x 20 u = 60 u
Number of marigolds sold that contributed to the rest of the earnings
= 60 u ÷ 1 u
= 60
16 of the earnings → 1 x 20 u = 20 u
Number of sunflowers sold that contributed to the rest of the earnings
= 20 u ÷ 2 u
= 10
Number of flowers sold
= 10 + 15 + 60 + 10
= 95
Answer(s): 95